
Accession Number : AD0422807
Title : FIRSTORDER AND SECONDORDER THEORY OF SUPERSONIC FLOW PAST BODIES OF REVOLUTION,
Corporate Author : RAND CORP SANTA MONICA CALIF
Personal Author(s) : Van Dyke,Milton D.
Report Date : DEC 1949
Pagination or Media Count : 29
Abstract : Methods are studied for imporving the existing perturbation theories of axial and inclined supersonic flow past bodies of revolution. For axial flow, a secondorder solution is developed using an interation procedure based upon the linearized solution. The resulting secondorder problem is reduced to an equivalent firstorder problem by discovery of a particular solution. The secondorder supersonic flow can then be computed with slight modification of the KarmanMoore procedure. For inclined flow, no particular solution of the secondorder equation has been discovered. The secondorder solution is derived for a cone, and agrees well with the exact solution. The slenderbody series expansion of the secondorder solution is found to cause large inaccuracies in both the axial and inclined flows. The conclusion that firstorder theory predicts the inclined flow no better than slenderbody theory is shown to be erroneous. Nonlinearity in lift is shown to result primarily from viscous separation of the crossflow along the after portions of the body. (Author)
Descriptors : (*BODIES OF REVOLUTION, SUPERSONIC FLOW), (*SUPERSONIC FLOW, BODIES OF REVOLUTION), PERTURBATION THEORY, EQUATIONS, CONICAL BODIES, NUMERICAL ANALYSIS, PRESSURE, THEORY, VISCOSITY, EXPERIMENTAL DATA, SLENDER BODIES, ANGLE OF ATTACK, LINEAR SYSTEMS, VELOCITY
Distribution Statement : APPROVED FOR PUBLIC RELEASE